Please help me solve this 5x-6y=21 and x-2y=5
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Please help me solve this 5x-6y=21 and x-2y=5

[From: ] [author: ] [Date: 12-05-03] [Hit: ]
......
PLEASE SHOW WORK PLEASE :)
solve the following equations using the substitution method

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Change x-2y=5 to x=2y+5 then plug in 2y+5 for x in the other equation and that will give you y, then once you get y plug it in to either problem and solve for x

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5X-6Y=21 BE EQATION NO 1
X-2Y=5 BE EQUATION NO 2

MULTIPLY EQA 2 WITH 3 AND SUTRACT FROM 1.
5X-6Y=21
3X-6Y=15 {MULTILPLIED WITH 3}
__________ {SUBTRACT NOW}
2X= 6
X=3 AND NOW SUBSTITUTE IN ANY OF THE EQUATIONS.
3-2Y=5; Y= -1

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x = 5 + 2y [Equation1]
5x - 6y = 21 [Equation2]

Substitute eq1 into eq 2

5(5 + 2y) - 6y = 21
25 + 10y - 6y = 21
4y = -4
y = -1

Substitute y into eq 1

x = 5 + 2(-1)
x = 3

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5x - 6y = 21
x - 2y = 5

x = 5 + 2y

5(5 + 2y) - 6y = 21

25 + 10y - 6y = 21

25 + 4y = 21

4y = -4

y = -1

_______________________________________…

5x - 6y = 21

5x - 6 x -1 = 21

5x + 6 = 21

5x = 15

x = 3


:D

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x-2y=5 => x=2y+5
5x-6y=21 => 5(2y+5)-6y=21 => 10y+25-6y=21 => 4y=-4 => y=-1, so x=3
1
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